Strong unique continuation for the Lam? system with less regular coefficients

Davey, B.B.DaveyLin, C.-L.C.-L.LinJENN-NAN WANG2020-12-252020-12-252020https://www.scopus.com/inward/record.url?eid=2-s2.0-85086736439&partnerID=40&md5=315d4b4ad61f25122add4b72e18d3c87https://scholars.lib.ntu.edu.tw/handle/123456789/533299We study the strong unique continuation property (SUCP) for the Lamé system in the plane. The main contribution of our work is to prove that the SUCP holds when Lamé coefficients (μ, λ) ∈ W2,s(Ω) × L∞(Ω) for some s> 4 / 3. In other words, we establish the SUCP for the Lamé system in the plane when λ is bounded and μ belongs to certain Hölder classes.[SDGs]SDG13Strong unique continuation for the Lam? system with less regular coefficientsjournal article10.1007/s00208-020-02026-02-s2.0-85086736439WOS:000542648300001